Excess-3 Encoding
Legacy arithmetic logic units often use self-complementing codes to simplify decimal subtraction operations at the hardware level.
The Excess-3 code represents each decimal digit by adding 3 to its numeric value before converting it to a 4-bit binary sequence. A multi-digit decimal number requires a continuous Excess-3 representation, with each decimal digit encoded independently into its own 4-bit group.
Analyze the encoding scheme and determine the correct Excess-3 representations and decimal equivalents for the provided values.
Constraints
- Each decimal digit is strictly represented by exactly 4 bits.
- Valid decimal digits range from 0 to 9.
- Multi-digit numbers are encoded by concatenating the 4-bit Excess-3 groups from left to right.
Topics
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